Uniqueness of Weak Solutions to an Electrohydrodynamics Model

This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d=2,3). When d=2, we prove a uniqueness without any condition on the velocity. For d=3, we prove a weak-strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.

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Bibliographic Details
Main Authors: Yong Zhou, Jishan Fan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/864186
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